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Journal of Mechanics of Materials and Structures, ISSN 1559-3959, 2012, Volume 7, Issue 1, pp. 45 - 84
Journal Article
2006, ISBN 0387282890, xv, 686
This user-friendly book provides the reader with a theoretical and practical knowledge of the finite element method (FEM) and with the skills required to... 
Finite element method | ANSYS (Computer system) | Engineering | Simulation and Modeling | Mechanical Engineering | Computational Science and Engineering | Computer-Aided Engineering (CAD, CAE) and Design | Appl.Mathematics/Computational Methods of Engineering
Book
2013, 2014, ISBN 9781461484646, Volume 9781461484653, 297
Introduces a new theory to advance in the analysis of existing and new structures and materials Provides sample algorithms for students, as well as... 
Engineering | Materials | Structural Materials | Continuum Mechanics and Mechanics of Materials | Engineering Thermodynamics, Heat and Mass Transfer | Continuum mechanics | Fracture mechanics
eBook
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 10/2017, Volume 97, Issue 10, pp. 1236 - 1251
This study presents the peridynamic integrals. They enable the derivation of the peridynamic (nonlocal) form of the strain invariants. Therefore, the... 
strain | Peridynamic | integrals | invariants | ELASTICITY | MATHEMATICS, APPLIED | MECHANICS | Deformation | Flux density | Mathematical analysis | Integrals | Dimensional analysis | Heat treating | Two dimensional analysis | Invariants | Strain
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 06/2016, Volume 304, pp. 408 - 451
The nonlocal peridynamic theory has been proven extremely robust for predicting damage nucleation and propagation in materials under complex loading... 
Peridynamic | Compression | Data | Nonlocal | Differentiation | Recovery | Operators | Nucleation | Filtering | Differential equations | Mathematical models | Derivatives | Equations of motion | Displacement
Journal Article
Journal of the Mechanics and Physics of Solids, ISSN 0022-5096, 01/2016, Volume 86, pp. 192 - 219
This study presents the ordinary state-based peridynamic constitutive relations for plastic deformation based on von Mises yield criteria with isotropic... 
Hardening | Peridynamics | Isotropic | Failure | Plasticity | PHYSICS, CONDENSED MATTER | MECHANICS | MATERIALS SCIENCE, MULTIDISCIPLINARY | Mechanical engineering | Yield criteria | Cracks | Equivalence | Benchmarking | Plastic deformation | Elastic deformation | Density
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 05/2019, Volume 348, pp. 846 - 874
This study presents the peridynamic approximation of a field variable and its temporal and spatial derivatives based on least squares minimization. Such... 
Least squares minimization | Peridynamic | Derivatives | Nonlocal | Integral form | SCHEME | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | CONVERGENCE | Mechanical engineering | Analysis | Differential equations | Approximation | Partial differential equations | Numerical differentiation | Optimization | Least squares
Journal Article
Composite Structures, ISSN 0263-8223, 08/2019, Volume 222, p. 110931
This study presents an isogeometric plate element, IG-RZT based on the refined zigzag theory (RZT) to model bending behavior of blade stiffened and unstiffened... 
Isogeometric | Flat shells | Single-layer theory | Composite | Zigzag functions | Finite element
Journal Article
International Journal of Fracture, ISSN 0376-9429, 2009, Volume 156, Issue 2, pp. 165 - 177
The peridynamic theory is employed to predict crack growth patterns in quenched glass plates previously considered for an experimental investigation. The... 
Peridynamic | Quenched glass | Crack growth | Prediction | MATERIALS SCIENCE, MULTIDISCIPLINARY | PATTERNS | BRITTLE-FRACTURE | INSTABILITIES | ELASTICITY | TRANSITION | MECHANICS | GROWTH | PROPAGATION | Reservoirs | Mechanical engineering | Cracks | Parameters | Glass plates | Glass | Quenching | Crack propagation | Accuracy | Fracture mechanics | Simulation | Quenching (cooling)
Journal Article
Engineering Fracture Mechanics, ISSN 0013-7944, 05/2017, Volume 176, pp. 23 - 37
•Coupled peridynamic modeling of temperature and oxygen diffusions and deformation in fuel pellets.•The material properties are dependent on temperature and... 
Peridynamics | Uranium dioxide | Fuel pellet | Failure | BEHAVIOR | THERMAL-DIFFUSION | HEAT | CODE | TRANSPORT | MECHANICS | CONDUCTIVITY | OXYGEN DIFFUSION | SIMULATIONS | RANGE | Uranium ores | Models | Uranium | Mechanical engineering | Analysis
Journal Article
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 08/2018, Volume 337, pp. 598 - 631
This study presents the weak form of peridynamic (PD) governing equations which permit the direct imposition of nonlocal essential and natural boundary... 
Peridynamic | Weak form | Nonlocal | Natural | Essential | Mechanical engineering | Analysis
Journal Article
Journal of the Mechanics and Physics of Solids, ISSN 0022-5096, 03/2014, Volume 64, Issue 1, pp. 1 - 23
Journal Article
Engineering Fracture Mechanics, ISSN 0013-7944, 06/2018, Volume 197, Issue C, pp. 92 - 113
•Non-uniform discretization and variable horizon in the solution of peridynamic equation of motion.•Distribution of the strain energy associated with an... 
Non-uniform discretization | Peridynamics | Irregular discretization | Thermomechanical | Nuclear industry | Usage | Nuclear energy | Mechanical engineering | Analysis | Bonds | MATHEMATICS AND COMPUTING | Discretization | Peridynamic | Non-uniform | NUCLEAR FUEL CYCLE AND FUEL MATERIALS | Thermal
Journal Article
Numerical Methods for Partial Differential Equations, ISSN 0749-159X, 09/2017, Volume 33, Issue 5, pp. 1726 - 1753
This study presents numerical solutions to linear and nonlinear Partial Differential Equations (PDEs) by using the peridynamic differential operator. The... 
equations | peridynamic | nonlocal | partial | differential | MATHEMATICS, APPLIED | Differential equations | Operators (mathematics) | Partial differential equations | Robustness (mathematics) | Discretization | Nonlinear differential equations | Boundary conditions | Dirichlet problem
Journal Article
Engineering Fracture Mechanics, ISSN 0013-7944, 05/2018, Volume 195, pp. 104 - 128
•Peridynamic truss element for deformation and fracture analysis.•Peridynamic nonlocal essential and natural boundary conditions.•Crack nucleation and growth... 
Truss element | Cracking | State-based | Peridynamics | Visibility
Journal Article
Engineering Fracture Mechanics, ISSN 0013-7944, 03/2018, Volume 190, pp. 31 - 52
•This study introduces an alternative form of the force density vector by considering the displacement equilibrium equations.•It involves only the non-local... 
Correspondence | Non-ordinary state-based | Peridynamics | Differential operator | MODEL | FRAGMENTATION | FRACTURE | MECHANICS | ELASTICITY THEORY | COALESCENCE | CONVERGENCE | CONSTRAINTS | NUMERICAL-SIMULATION | LOADS | PROPAGATION
Journal Article
Engineering Geology, ISSN 0013-7952, 07/2017, Volume 225, pp. 19 - 28
A new fully coupled poroelastic peridynamic formulation is presented and its application to fluid-filled fractures is demonstrated. This approach is capable of... 
Hydraulic | Peridynamics | Fracture | Poroelasticity | SATURATED ROCK | MESHFREE METHOD | DISCONTINUITIES | TRANSIENT HEAT-CONDUCTION | SIMULATION | DEFORMATION | ARBITRARY EVOLVING CRACKS | GEOSCIENCES, MULTIDISCIPLINARY | ENGINEERING, GEOLOGICAL | FINITE-ELEMENT-ANALYSIS | Mechanical engineering | Analysis
Journal Article
IEEE Transactions on Components, Packaging and Manufacturing Technology, ISSN 2156-3950, 11/2017, Volume 7, Issue 11, pp. 1823 - 1831
Journal Article
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